Daily Closing Inside Spreads and Trading Volumes Around Earnings Announcements

Transcription

1 Journal of Business Finance & Accounting, 29(9) & (10), Nov./Dec. 2002, X Daily Closing Inside Spreads and Trading Volumes Around Earnings Announcements Daniella Acker, Mathew Stalker and Ian Tonks* 1. INTRODUCTION This paper provides an empirical investigation of the movement in inside spreads around corporate earning announcements for a sample of UK firms over the period 1986±94. The primary motivation for the study lies in the arguments put forward in the main market microstructure theories of the quoted spread, to examine the implications they have for empirical testing of the inside spread. The inside spread or the `touch' represents the lowest ask and the highest bid prices quoted by competing dealers at a point in time. Previous empirical work (Yohn, 1998; Krinsky and Lee, 1996; Lee, Mucklow and Ready, 1993; and Venkatesh and Chiang, 1986) on the movements in spreads around earnings announcements has focused on quoted spreads rather than inside spreads. In examining transactions on the London Stock Exchange, Hansch, Naik and Viswanathan (1998) draw a distinction between the quoted spread, the inside spread and the effective spread. The quoted spread is the difference between the bid and ask prices that a market maker will quote specifying the prices at * The authors are from the Department of Economics, University of Bristol. They thank Ray Ball, Brad Cornell, Sylvain Friederich and participants at the European Finance Association August 2000 conference for helpful comments on this paper. This work has arisen out of ESRC grant R They are grateful for this financial support. (Paper received, January 2000, revised and accepted October 2001) Address for correspondence: Daniella Acker, Department of Economics, University of Bristol, 8 Woodland Road, Bristol BS8 1TN. daniella.acker@bristol.ac.uk ß Blackwell Publishers Ltd. 2002, 108 Cowley Road, Oxford OX4 1JF, UK and 350 Main Street, Malden, MA 02148, USA. 1149

2 1150 ACKER, STALKER AND TONKS which he is willing to trade, and the quoted spread may differ between competing market makers. Within the group of competing market makers, the lowest ask and highest bid price, possibly quoted by different market makers, represents the inside spread (or the touch as it is called on the London Stock Exchange). Finally, individual traders may negotiate transactions prices with market makers that are better than the inside spread, and these transactions prices are the effective spread. The market microstructure theories typically explain the determinants of the quoted spread, but the dataset used in this paper is based on inside spreads, and in Section 2 we examine the implications of the determinants of the quoted spread for the inside spread. The two principal theories of the quoted bid-ask spread are represented by `asymmetric information' and `inventory control' models. The asymmetric information models argue that the bidask spread compensates market makers for adverse selection risk, the risk of trading with an investor who has superior information. The emphasis of the inventory control models is on the costs of holding inventory. One of these is the risk that the market maker finds himself holding non-optimal inventory levels and is unable to adjust them by trading. 1 Both adverse selection and inventory control risks are related to trading volumes, but in opposite directions. If investors obtain private information, they are likely to trade on that information, so that if market makers notice unusually high volumes of trade they will increase their spreads to compensate them for the perceived adverse selection risk. Conversely, if trading volumes are generally low, market makers will find it difficult to adjust their inventory levels and will increase their spreads to compensate. These arguments suggest that the level of asymmetric information in the market and the risk of holding non-optimal inventory levels can both be proxied by some measures of trading volume. This is the approach taken by many studies in this area (see Lee, Mucklow and Ready, 1993; and Stoll, 1989, for example). However, realised volumes may not completely reflect the extent of adverse selection risk caused by information asymmetry, or the risk of holding non-optimal stock levels caused by market illiquidity. This is particularly the case in the period around earnings announcements.

3 CLOSING INSIDE SPREADS AND EARNINGS ANNOUNCEMENTS 1151 Since earnings announcements convey new information to the stock market, an impending announcement has the potential to induce information asymmetry by making private information acquisition attractive to potential traders. 2 Although marketmakers will be aware of the high level of information asymmetry present in the market, it is likely that the asymmetry will not be entirely reflected in increased trades, for reasons such as legal prohibitions on trading or general uncertainty. The spread will therefore be affected by an increase in perceived adverse selection risk that is not reflected by an observable increase in volumes. Turning to inventory control, the risk of holding non-optimal inventory levels is related to the depth of the market, that is the extent to which large trades can be undertaken at will, without incurring large transactions costs (including opposing price movements). Although this is related to the volume of trades that are actually undertaken, the two are not identical, as market depth depends on the `latent' demand and supply of the stock. As shown in Lee et al. (1993), market depth narrows just before earnings announcements, increasing the extent of unobservable inventory control risk. In this case, the spread will again be affected by an increase in risk that is not reflected by an observable decrease in volumes. It is likely therefore, that the trading volume proxies commonly used in the literature to analyse these determinants of the spread will not perform as well during announcement periods as at other times. The aim of this paper is to test whether the fact that an announcement is made carries incremental information in explaining the spread, over and above the standard trading volume proxies (also controlling for other relevant variables). We begin by examining the data to identify the patterns in inside spreads around earnings announcement dates, allowing our choice of event period to be driven by the patterns observed in the data. We then expand the simple univariate approach to control for interactions of the spread with other market variables used in the literature, such as the trading volumes discussed above, to investigate whether these variables explain movements in the spread around announcement dates. In common with other studies, we find that important determinants of spreads are trading volumes and return

4 1152 ACKER, STALKER AND TONKS variability (see note 1). As predicted by the inventory control model, volumes are negatively related to spreads, while return variability is positively associated with spreads. We also find that unusually high trading volumes, proxying asymmetric information, are significantly positively related to the size of the spread, as predicted by the adverse selection models. As expected, inside spreads fall at the end of an announcement day, and volumes and return variability are higher on that day. However, the fall in inside spreads appears to begin about three weeks before the announcement. This is clearly at odds with the idea that adverse selection risk and inventory control risk should cause spreads to widen before an announcement, and is not consistent with studies based on US data, such as Lee et al. (1993) and Yohn (1998). Although an earnings announcement does appear to affect the spread over and above the effect of the changes in the other variables at that time, the effect is to reduce it, rather than increase it, as would be suggested by the arguments outlined above. A second puzzling phenomenon is that after the release of earnings information, inside spreads not only fall, but remain at the new lower level for up to 90 days after the announcement date. The remainder of the paper is organised as follows. Section 2 reviews the previous literature and Section 3 describes the data. The methodology is outlined in Section 4, while Section 5 presents the results. Section 6 concludes the paper. 2. PREVIOUS LITERATURE (i) Models of the Bid-Ask Spread There are two main theories of the quoted bid-ask spread, `asymmetric information' models and `inventory control' models. In addition, empirical work by Roll (1984) and Stoll (1989) has identified order processing costs as a component of the spread not dealt with by the two main strands of the theoretical literature. We deal with each of these aspects of the spread in turn. In the `asymmetric information' models, dealers trade with liquidity traders and with informed traders. The latter group has

5 CLOSING INSIDE SPREADS AND EARNINGS ANNOUNCEMENTS 1153 information which is superior to that of the dealers, so bid and ask prices are set in order to compensate dealers for the perceived adverse selection risk. Kyle (1985), Glosten and Milgrom (1985) and Easley and O'Hara (1987) suggest that if market conditions are such that market makers 3 become concerned that there is a higher proportion of informed traders in the market, or that the informed traders have better information, they will widen the bid-ask spread to compensate themselves for the additional adverse selection risk. Therefore, the bid-ask spread can be a purely informational phenomenon, occurring even when all the specialist's fixed and variable transactions costs (including his time, inventory costs, etc.) are zero (Glosten and Milgrom, 1985, p. 72). In addition, Kyle (1985) and Easley and O'Hara (1992) both predict that trading volumes will rise when there is information asymmetry. This suggests a positive relationship between spreads and unusually high trading volumes, since dealers interpret an unusually high volume as a sign of an increased number of informed traders and widen their quoted spreads accordingly. These asymmetric information theories of the bid-ask spread have been developed either with monopoly market makers in mind, or for identical competing market makers who quote the same prices in equilibrium. In practice Hansch, Naik and Viswanathan (1998) report that market makers on the London Stock Exchange typically maintain a constant and identical bidask spread, though the quoted prices may be different. 4 They find that the average quoted spread in their sample of liquid equities is 1.61%, which is generally wider than the inside spread which has an average value of 1.04%. Hence any single market maker is normally only ever on one side of the touch, and therefore only attracting order flow in one direction. A market maker`s quotes will either be on the bid side of the touch, or the ask side of the touch, or will be straddling the touch. In the face of adverse selection concerns rather than widen their spreads, individual market makers can adjust the levels of their bid and ask quotes to take their quotes away from the touch. This will have the effect of widening the inside spread, so that although the individual quoted spreads of market makers remains constant, the touch will widen in the face of adverse selection.

6 1154 ACKER, STALKER AND TONKS The relationships between spreads and trading volumes should be particularly evident around earnings announcements, as the time just before an announcement presents an opportunity for information to be asymmetrically distributed: corporate insiders, accountants, and lawyers potentially have more information about company fundamentals than outside investors, including market makers. The prediction of the adverse selection models is that inside spreads should widen before an earnings announcement, as there is increased probability that trades are initiated by investors with superior information and individual market makers move their quotes away from the touch; while inside spreads should fall after an announcement, once the information has become public, and market makers again start to offer more competitive quotes. It is possible within the context of these models that inside spreads would not fall immediately after the announcement, as there is still some advantage to be gained by market agents who did not have superior information before the announcement, but have superior information-processing abilities. 5 In fact, Kim and Verrecchia (henceforward KV) (1994) argue that the disclosure of the earnings actually causes increased information asymmetry risk, so that spreads should widen after the announcement rather than before it. In either case one would expect inside spreads to return to normal levels within a few days of the announcement. KV (1991a and 1991b) also argue that heterogeneous beliefs around earnings announcements induce market participants to trade. Therefore, increased information asymmetry at announcement dates should result in higher trading volumes as well as increased spreads, in line with the predictions of Kyle (1985) and Easley and O'Hara (1992). `Inventory control' models of the spread are based on the premise that risk averse market makers have a desired inventory position. Maintaining this inventory position implies taking on the risk of unfavourable stock price movements, and market makers charge investors the spread to compensate them for this risk. There are two aspects to inventory risk: the risk of being unable to trade the stock and the risk that prices will change while stocks are being held. The first of these risks will be higher, the more difficult it is for the market maker to return to his desired inventory level

7 CLOSING INSIDE SPREADS AND EARNINGS ANNOUNCEMENTS 1155 (Amihud and Mendelson, 1980; and Ho and Stoll, 1980 and 1983). A dealer who has recently purchased a large quantity of stock and therefore has imbalanced inventories, may temporarily reduce both his bid and his ask quotes. He will reduce his bid quote to ensure that he is not quoting the best bid, and will not therefore purchase any additional stock. In addition he may reduce his ask to attempt to obtain the most competitive ask quote in order to induce potential purchasers to trade with him, and reduce his costly inventories. According to Ho and Stoll (1983) the reservation fee of a market maker for buying or selling stock, will determine his posted quotes, and will depend on the variance of the stock return, the market maker's degree of risk aversion, and the market maker's inventory level. Hansch, Naik and Viswanathan (1998) test this hypothesis and find that: market makers with the most divergent inventories are most likely to execute large trades; a larger fraction of the order flow is executed by market makers posting the best quotes; and quote changes are related to changes in relative inventory positions. They point out that at times, there may be a large disparity in the inventories of different dealers as a result of which the shortest dealer is aggressively at the bid, and the longest dealer aggressively at the ask. At this time the inside spread can be close to zero. In a liquid market characterised by high trading volumes, 6 dealers need only set a narrow `inventory spread', since dealers are assured of being able to quickly restore out-of-equilibrium positions. The inventory control theories therefore predict that as the liquidity of a stock increases, the compensation required by the market maker through the spread is reduced, resulting in a negative relationship between trading volumes and quoted spreads. Translating this prediction to inside spreads, we can see that if all market makers are quoting narrow spreads in liquid stocks, we would expect the inside spread to also be inversely related to trading volumes. The second feature of inventory risk is related to the underlying variability of the stock return. Garber and Silber (1979), and Ho and Stoll (1981) demonstrate that the more volatile is the stock price, the more the market maker is exposed to the risk of unfavourable price movements. Consequently the wider is the bid-ask spread necessary to compensate the market

8 1156 ACKER, STALKER AND TONKS maker, leading to a positive correlation between return variability and the spread. Again if all market makers quote wide spreads in high variability stocks, but again only quote at the touch on one side of the market, then the inside spread will be positively related to return variability. Around earnings announcements, an increase in uncertainty concerning the reported earnings as the earnings announcement date approaches, would suggest that spreads would increase. Though this would be offset by any increase in trading volumes, making the market more liquid. Finally, as with inventory risk, the existence of order processing costs will imply a negative relationship between trading volumes and quoted spreads. If dealers must recover fixed transaction costs through the bid-ask spread, then the larger the number of transactions, the lower the cost per transaction, and again the lower will be the inside spread. (ii) Evidence on Spreads Around Earnings Announcements Using daily data on closing bid and ask prices Morse and Ushman (1983) were unable to uncover any evidence that bid-ask spreads change around earnings announcements. It has been suggested that this finding could be due to the information and volume effects working in opposite directions, since the former causes spreads to widen, but the increased trading volumes around the announcement dates result in a fall in spreads. Venkatesh and Chiang (1986), also using daily data, found that spreads widened after earnings announcements only when there was no other type of information released prior to the announcement date. Lee, Mucklow and Ready (1993) used intraday data on bid and ask prices, and found that spreads increased during the half-hour containing the earnings announcement, and remained wider for the rest of that day. This increase in spreads continues for at least one trading day after the announcement. They also reported a reduction in the quoted depth (the number of shares available at each bid and ask price) prior to the time of the announcement. Yohn (1998) also finds that spreads increase in the four days prior to an earnings announcement, on the announcement day, and on the day after the announcement. He found that spreads revert to their normal levels within ten days of the announcement.

9 CLOSING INSIDE SPREADS AND EARNINGS ANNOUNCEMENTS 1157 Brooks (1996) looked at the change in the level of information asymmetry around earnings and dividend announcements, using a regression-based measure of asymmetric information due to Hasbrouck (1991). He also examined changes in the bid-ask spread. He found a negative relationship between his measure of asymmetry and the bid-ask spread; also, his results indicated little significant effect of announcements on either of the variables, although there was weak evidence of a reduction in asymmetry before and after earnings announcements. Using methods suggested by Roll (1984), Stoll (1989), George, Kaul and Nimalendran (1991) for estimating the components of the spread, Krinsky and Lee (1996) have analysed the components of the bid-ask spread around earnings announcements. They find that the adverse selection component (or information spread) increases markedly in the period around the announcement, but that the inventory and order processing components decline, so that overall the spread remains fairly constant. 3. DATA The dataset which forms the basis for our empirical tests consists of a sample of 195 less-liquid stocks on the London Stock Exchange. These stocks were all constituents of the FT-All Share Index, and were in deciles two to four in terms of market capitalisation of those constituents. Most of the companies in our sample were also constituents of the FT250 Midi Index. The reason for focusing on this sample of less-liquid stocks is that spreads are much wider than for the more liquid FTSE100 stocks, and therefore any movement in spreads should be easier to identify. We collected earnings announcement data over the period 1986±94 from Extel's Sequencer package, and from Extel cards in the earlier part of the sample, this resulted in eight final earnings announcements per company (1,505 final earnings announcements). The cards and news service record the date of each announcement. The timing of the announcement of the earnings figure is at the discretion of the Stock Exchange, and although the Exchange records the release time of the most recent earnings announcement for a company, it proved impossible to obtain the exact time of past earnings announcements.

10 1158 ACKER, STALKER AND TONKS Trading volume data were obtained from Datastream. We extracted turnover by volume from Datastream datatype VO, which shows the number of shares traded per day. In addition we also tested our results with a different definition of trading volume, Datastream datatype AN, which is the aggregate number of shares transacted for non-stock exchange members. These two series are highly correlated and the results did not alter with either definition. We therefore only report results based on the VO definition of trading volume. Daily closing bid and ask prices were obtained from Datastream for all trading days between 27 October, 1986 and 1 February, All weekends and public holidays were excluded from the sample, so that the maximum number of trading days' data for any single company was 2,091. These closing prices are the best bid and ask prices quoted by market makers at the close of the market each day. They are not `stale' transactions prices, since quotes are updated even if no transactions take place on that day, so there should be no concern about thin trading. Datastream does not publish information on ask prices before 1986, and this therefore determined the starting date for the sample. 7 It is worth discussing whether using the Datastream daily closing prices is valid, when Lee et al. (1993) use intraday data. One argument that may be raised is that closing `best' prices are not indicative of `average' market-maker behaviour during the day. The other possible problem is that closing prices are, in general, not representative of intraday prices. We address each of these issues below, first outlining the procedure for setting bid and ask prices on the London Stock Exchange (LSE). Over the period 1986±97 the LSE operated as a dealer market with competing market makers, each market maker continuously quoting a bid price at which he was willing to buy securities, and an ask price at which he was willing to sell. Although its trading mechanism changed in 1997 to an order-driven system for the most liquid FTSE100 stocks, over the time period 1986±94 which we examine, and for the FTSE250 stocks in our sample, the relevant trading mechanism remains the quote-driven system. Trading in shares at the LSE takes place by telephone through a small number of registered market makers. Market makers announce on SEAQ screens firm prices at which they are willing to buy and sell given quantities of stock up to a preset maximum.

11 CLOSING INSIDE SPREADS AND EARNINGS ANNOUNCEMENTS 1159 The lowest ask price and highest bid price, which represents the best prices from the point of view of the customer, are highlighted on the SEAQ screens and are called the `yellow strip' prices or the `touch'. The quoted bid and ask prices of competing market makers might differ, and the closing prices on Datastream are the bid and ask prices at the touch (also called the inside spread), representing the best prices ± the narrowest spread ± available. A rule of the Exchange is that brokers are obliged to trade on behalf of their clients at the best prices, so that outside investors should trade at no worse than the touch, though they may trade at even better prices. Hansch, Naik and Viswanathan (1999) report that 33% of London Stock Exchange trades occur at prices better than the inside spread: the effective spread is narrower than the inside spread due to preferencing. We have already noted that market makers set constant spreads and typically only quote competitive prices on one side of the spread. Turning to the question of whether closing prices are representative of intraday prices, Abhyankar, Ghosh, Levin and Limack (1997) examine intraday `inside' spreads (spreads at the touch) on the LSE and find that average spreads vary only slightly during the mandatory quote period. This suggests that the average spread over the day should be an unbiased predictor of the closing spread. In fact, we were able to test directly for bias, since we had access to some intraday data provided by the LSE, relating to a small sub-sample of seven of the companies in our sample. 8 The intraday dataset consists of a continuous record of all transactions and the best ask and bid quotes in these seven stocks between 1 April, 1992 and 11 March, 1994, which represents 492 trading days. We were therefore able to use this data to test the hypothesis that intraday spreads are an unbiased estimator of closing spreads. Finally, as noted above, the study by Lee et al. (1993) makes use of intraday stock price data, and provides evidence on the movement in spreads at half-hourly intervals. Although the volatility of intraday data, forces them to average the half-hourly stock price reaction for the days before and after the earnings announcement, to obtain a clear picture of the effect of the earnings announcement on spreads. Although using closing prices clearly restricts the examination of the immediate effect of

12 1160 ACKER, STALKER AND TONKS the earnings announcement on spreads, an advantage of this data is that we were able to investigate the daily movement in spreads over every trading day in 1986±94 (see endnote). This period includes 1,505 final earnings announcements for the 195 companies, about eight announcements per company. Hence we are able to control for any time effects in the movements in spreads around earnings announcements, which would not be possible in a short window of perhaps one year's worth of intraday data. Table 1 presents descriptive statistics of daily closing spreads, daily trading volumes and daily return variability. Panel A shows that the average inside spread across all observations is 2.3%. The median is 1.84%, indicating some right skewness in the distribution. These are higher than the spreads reported in Hansch, Naik and Viswanathan (1998), because our inside spreads relate to less liquid stocks. The spread is bounded from below by zero and the upper 10% of the observations are above 4.2%. Panel B shows that the overall standard deviation is %. The `within' component, which reflects the contribution of variation over time to the overall standard deviation, is of the same order of magnitude as the `between' component, which reflects the contribution of cross-sectional variation. 9 Mean daily trading volume is 603,300, considerably higher than the median of 153,600. In addition, the overall standard deviation is extremely high and the distribution ranges from 6,000 at the lower end to 1.5 million at the upper end. The `between' component of the standard deviation is less than half the `within' component, implying that the time series variation is much greater than the cross-sectional variation. To avoid the distortion caused by large outliers we transformed the trading volume variable by taking natural logarithms. The average value of the squared daily return, which proxies return variability, is 3.774% 2. More than 25% of the observations are zero, reflecting the fact that on a large number of days no price change has occurred. From Panel B it can be seen that, as with the trading volumes, the `within' component of the standard deviation is more than ten times greater than the `between' component, implying that the time series variation is much greater than the cross-sectional variation.

13 CLOSING INSIDE SPREADS AND EARNINGS ANNOUNCEMENTS 1161 Table 1 Descriptive Statistics Panel A: Distribution of Inside Spread, Trading Volume and Return Variability Percentiles Number of Mean 10% 25% Median 75% 90% Observations Daily inside spread 402, Daily trading volume (000) 282, ,548.0 Ln (volume) 282, Daily variability of company returns (% 2 ) 402, Panel B: Standard Deviations of Inside Spread, Trading Volume and Return Variability Overall Standard Between 1 Within 2 Deviation Daily inside spread Daily trading volume (000) 1,773, ,640 1,604,475 Ln (volume) Daily variability of company returns (% 2 ) Panel C: Mean Values of Inside Spreads and Trading Volumes 3 Around Earnings Announcement Days Around Daily Spread Daily Trading Ln(Volume) Announcement Volume (000) 90; ; , , (+3,+15) (+16,+90) Notes: 1 `Between' denotes the cross-sectional standard deviation of the time series means. 2 `Within' denotes the cross-sectional mean of the time series standard deviations. 3 Inside spreads and trading volumes were averaged across companies for the following sub-intervals around the earnings announcements: 90; 16 ; 15; 3 ; 2; 1; 0; 1; 2; 3; 15 ; 16; 90.

14 1162 ACKER, STALKER AND TONKS In Panel C we report the mean values of daily spreads and volumes during the event window (see below for a discussion on the choice of window). It can be seen that spreads start to fall below their normal level 15 days before the announcement date. On the announcement date spreads narrow to 2.16% on average. They stay down for a further two days, begin to rise and only begin to approach the long-run norm in the (+16, +90) period. Trading volumes increase dramatically on the day of the announcement and stay high on the following two days. These descriptive statistics are indicative of the relationship among spreads, trading volumes, return variability and earnings announcements. However, they do not take account of the interactions between these variables, which are examined in the models described in the following section. 4. METHODOLOGY In a preliminary investigation of the data we examined the movement in spreads over the reporting year. We estimated equation (1), which assigns dummies to each five-day period over the year, except for the announcement day, day 0: s j;t ˆ A X 2T B D j; " j;t 2 f 125; 121 ; 120; 116 ;... 5; 1 ; 1; 5 ; 6; 10 ;... ; 121; 125 g 1 where s j,t is the bid-ask spread of company j at the close of trading on day t and is defined as the difference between the ask and the bid prices as a percentage of the mid-point price: s j;t ˆ 2 ASK j;t BID j;t = ASK j;t BID j;t ; D j; is a set of dummies, which take the value 1 for each 5-day trading period,, around each earnings announcement; and 0 elsewhere; and " j;t is an error term. There are typically 250 trading days in an accounting year, and the classification of this set of dummies ensures that every 5-day period in the 125 trading days either side of the announcement is included in the regression. The periods 2 f 125; 121 ;

15 CLOSING INSIDE SPREADS AND EARNINGS ANNOUNCEMENTS ; 116 ;... 5; 1 ; 1; 5 ; 6; 10 ;... ; 121; 125 g encapsulate the usual interval between each final earnings announcement, as shown in Figure 1, where we present the frequency distribution of the time interval between each company's successive earnings announcements. For each announcement this time interval is equally divided between a `pre-announcement' period (denoted by a minus sign) and a `post-announcement' period (denoted by a plus sign), centred around the day of the earnings announcement (day 0). All days outside the period 125; 125 were dropped from the estimation, so the intercept coefficient, A, is the estimated spread on the announcement day. In Figure 2 we present the estimation results. The intercept is just above 2.3%, confirming the descriptive statistics in Panel A of Table 1. It can also be seen that spreads appear to decline from about 90 days before the Figure 1 Distribution of Number of Trading Days Between Successive Earnings Announcements 1986±1994 Notes: The figure shows the frequency distribution of the time interval between each company's successive earnings announcements. For each announcement this time interval is equally divided between a `pre-announcement' period (denoted by a minus sign) and a `postannouncement' period (denoted by a plus sign), centred around the day of the earnings announcement (day 0).

16 1164 ACKER, STALKER AND TONKS Figure 2 Estimated Inside Spreads Around Announcement Dates Notes: The figure shows the estimated spread over the reporting year, together with 95% confidence intervals for the spread. The estimates were generated using equation (1): s j;t ˆ A P 2T B D j; " j;t. announcement, fall sharply on the day of the announcement, and stay down until about 90 days after it. 10,11 This is surprising in view of the results of Lee et al. (1993) and Yohn (1998), but more comprehensive tests resulted in the same pattern. We used this preliminary investigation of the spreads pattern over the year to determine the length of the event period, choosing an event window running between day 90 and day +90. Within this period we identified sub-intervals to reflect the patterns suggested by Figure 2. These sub-intervals were as follows: 90; 16 ; 15; 3 ; 2; 1; 0; 1; 2; 3; 15 ; 16; 90. We then estimated two sets of regression equations to investigate the behaviour of spreads, trading volumes and return variability around earnings announcements. The first set (equations (2a), (2b) and (2c)) represents simple univariate tests designed to confirm the pattern suggested by the descriptive statistics, namely that spreads, volumes and return variability do indeed change during the chosen event window. This is done by assigning dummy variables to the sub-intervals within the event

17 CLOSING INSIDE SPREADS AND EARNINGS ANNOUNCEMENTS 1165 period, and regressing the spread, volume or return variability on these dummies: s j;t ˆ a X b D j; " j;t 2T (2a) Vol j;t ˆ a 0 X b 0 D j; " 0 j;t 2T (2b) VAR j;t ˆ a 00 X 2T b 00 D j; " 00 j;t (2c) where s j,t is the inside spread, as defined above; Vol j,t is the log of the total number of shares traded (buys and sells) in company j's shares during day t; VAR j,t is the square of stock j's return on day t, a proxy for return variability; 12 and D j; are dummy variables which now take on the value 1 if period lies in the event window, and 0 otherwise; 2 f 90; 16 ; 15; 3 ; 2; 1; 0; 1; 2; 3; 15 ; 16; 90 g. The theoretical literature discussed in Section 2 typically predicts a widening of the spread before the announcement date, with a reversion to normal levels soon afterwards. Conversely, the KV model predicts a widening of the spread and increase in volumes after the announcement. In addition the inventory control model of Ho and Stoll (1983) with competing dealers suggests that spreads might narrow before an earnings announcement as dealers ensure a neutral inventory position by the event date. Therefore positive coefficients on the b in equation (2a) (where indicates dates before the announcement) would support the conventional models of the spread. In addition the coefficients on some or all of the b and b 0 (since prices are measured at the close of trading) should not be significantly different from zero, depending on how long it takes the market to adjust to the new information. The KV model will be supported if b 0, and some or all of the b are significantly positive. The same arguments apply to the b 0 coefficients in equation (2b). Turning to equation (2c), the general finding in the literature is that volatility increases immediately after an announcement (see Beaver, 1968; and Kalay and Loewenstein (KL), 1985, for early examples; and Acker, 1999, for a more recent one) and

18 1166 ACKER, STALKER AND TONKS remains high for one or two days. Some papers have also found that volatility is lower than usual in the period leading up to an announcement although not immediately before it (Beaver, 1968; and KL, 1985, again; and two studies using implied volatilities, Donders and Vorst, 1996; and Acker, 2001, also obtain this result). We would therefore certainly expect b0 00, b00 1 and possibly b2 00 to be significantly positive; and some or all of the b00 may also be negative. The second set of equations explicitly models the interactions between trading volumes, return variability and spreads. We use a series of nested models to identify the extent to which the spread can be explained by order processing costs (trading volumes), inventory control costs (trading volumes and return variability) and asymmetric information (excess volume). The models, shown in order of increasing complexity, are as follows: Model 1: s j;t ˆ Vol j;t j;t Model 2: s j;t ˆ Vol j;t X Vol j;t VAR j;t MVAR t j;t Model 3: s j;t ˆ Vol j;t X Vol j;t VAR j;t MVAR t X D j; 2T # j;t where XVol j,t is the excess trading volume, defined as the percentage difference between firm j's actual trading volume and its average trading volume over time, when this difference is positive; and zero otherwise; 13 MVAR t is the unweighted mean of VAR j,t across all stocks on day t, which is a proxy for market variability; and j;t, j;t, # j;t are error terms, with the other variables as defined above. Model 1 investigates the relationship between spreads and trading volumes, to identify the extent to which movements in the spread are related to observable inventory control and transactions costs considerations. As discussed above, the order processing costs and/or inventory control should result in a negative relationship between the daily level of trading volume and the size of the spread < 0. Model 2 includes excess volumes and return variability measures as additional control variables. Excess volume is used as a proxy for information asymmetry, as suggested by the Kyle

19 CLOSING INSIDE SPREADS AND EARNINGS ANNOUNCEMENTS 1167 (1985), Easley and O'Hara (1992) and KV (1991a and 199b) models. A positive relationship between the excess trading volumes and spreads > 0 confirms the joint hypothesis that both spreads and excess volumes reflect observable information asymmetry. The coefficients on the return variability terms, and should be positive, reflecting the fact that spreads will increase with inventory risk. Having established the relationship between closing spreads, daily trading volumes and return variability, we then investigate in more detail the change in spreads around earnings announcements. Model 3 includes the sub-interval event period dummy variables (the `T dummies'). The model examines whether there is any change in the spread in the event period which is not accounted for by normal and excess trading volumes, or by return variability. Significant coefficients on the dummies would suggest that the bid-ask spread during the event window reflects changes in information asymmetry or costs which are not entirely captured by the explanatory variables in Model 2. We might anticipate that the distributions of the error terms in Models 1 to 3 j;t, j;t, # j;t will vary over the j companies. One solution to this problem is to correct the estimated standard errors from the pooled regressions for heteroscedasticity. Our first set of results (Table 3 below) therefore uses White's heteroscedastic-consistent covariance estimator. A second approach exploits the fact that we have panel data on a crosssection of firms over time, and models the error terms appropriately. The residuals in models 1 to 3 (and also in equations (2a) to (2c)) can be separated into two components, j! j;t, say, where j is a firm-specific residual, and! jt has all the usual properties (zero mean, homoscedastic, uncorrelated with itself and with j ). Assuming that the j are fixed and estimable we may estimate the models as fixed effects panel models, in which case the j may be interpreted as dummy variables for each firm, taking on the value of unity for firm j, and zero elsewhere. We therefore re-estimated all models as fixed effects panel models, with results presented in Table 4 below. The results are discussed in the following section. Finally, we re-estimated the models including dummy variables for calendar years, since the size of the spread in bull and in bear markets is likely to vary considerably.

20 1168 ACKER, STALKER AND TONKS 5. RESULTS In Table 2 we present the results of estimating equations (2a) to (2c). The results of the pooled estimations are reported in the first two columns and those of the fixed effects estimations are in the third and fourth columns. The high values of the F-statistics in these last two columns verify the joint significance of the fixed effects terms. The equation (2a) results show that spreads do drop significantly by the end of the announcement day, as predicted by the standard microstructure models, and in contrast to the KV predictions. The size of the drop is of the order of 0.16 to 0.2 percentage points, which reduces the spread to below normal levels, whereas the standard models predict that spreads return to normal immediately after the announcement. Although the drop reaches its maximum by the end of the announcement day, the reduction in spreads appears to start some 15 days before the announcement day. There is evidence from the fixed effects regression that spreads in the period 90; 16 increase very slightly, although this is not apparent in the pooled model. After the announcement, both models indicate that spreads begin to rise again, although they stay below their `normal' level of 2.3% for the next 90 days. 14 The equation (2b) regressions are concerned with trading volumes. As expected, volumes reach a maximum on day 0. The volume increase begins on day 1 and continues for 15 days after the announcement, although, as with the spreads, the maximum increase is on the announcement day. The implications of the regressions for the 90; 2 and (+16, +90) periods are ambiguous. The pooled and fixed effects models generate different results, although the general pattern appears to be that there are higher volumes than normal during these periods. The equation (2c) results show that, as expected, there is a substantial increase in volatility on the day of the earnings announcement, which continues into the following day, although at a reduced level. Interestingly, in line with the papers mentioned above, we also find a dip in volatility in the ninety day period leading up to the announcement, although not immediately before it. There is also a dip in the ninety day period

21 CLOSING INSIDE SPREADS AND EARNINGS ANNOUNCEMENTS 1169 Table 2 Estimates of Equations (2a) to (2c) Pooled Fixed Effects Equation (2a) Equation (2b) Equation (2c) Equation (2a) Equation (2b) Equation (2c) (dependent (dependent (dependent (dependent (dependent (dependent variable: variable: variable: variable: variable: variable: spreads) log volumes) daily return spreads) log volumes) daily return variability % 2 ) variability % 2 ) Constant ( )** ( )** (60.249)** ( )** ( )** (62.355)** DUM ; 16 ( 1.760) (1.937)* ( 5.138)** (5.192)** (8.734)** ( 4.528)** DUM ; 3 ( 7.967)** ( 1.034) ( 7.492)** ( 6.100)** (1.689) ( 5.285)** DUM ( 2.981)* (1.775) (0.680) ( 2.582)* (3.547)** (2.023)* DUM ( 2.758)* (3.171)* ( 0.621) ( 2.279)* (5.177)** ( 0.244) DUM ( 4.359)** (23.126)** (11.538)** ( 4.358)** (33.219)** (35.057)** DUM ( 4.616)** (17.807)** (4.658)** ( 4.666)** (25.990)** (6.482)** DUM ( 4.269)** (9.475)** ( 0.217) ( 4.275)** (14.726)** ( 0.058) DUM (+3, +15) ( )** (11.155)** ( 5.241)** ( )** (19.987)** ( 4.096)** DUM (+16, +90) ( )** ( 0.232) ( )** ( )** (6.801)** ( 9.487)** R squared F(194, ) ** F(193, ) ** F(194, ) 20.04** No. in sample 402, , , , , ,244 Notes: 1 The table shows the regression results on equations (2a) to (2c): s j;t ˆ a X b D j; " j;t 2T (2a) Vol j;t ˆ a 0 X b 0 D j; " 0 j;t 2T (2b) Var j;t ˆ a 00 X b 00 D j; " 00 j;t 2T (2c) where s j,t is the inside spread of company j at the close of trading on day t and is defined as the difference between the ask and the bid prices as a percentage of the mid-point price; Vol j,t is the log of the total number of shares traded in company j's shares during day t; VAR j,t is the square of stock j's return on day t, a proxy for return variability; and D j; are dummy variables which take on the value 1 if period lies in the event window, and 0 otherwise; and ˆ f 90; 16 ; 15; 3 ; 2; 1; 0; 1; 2; 3; 15 ; 16; 90 g. 2 t-statistics in parentheses; * ˆ significant at 5%; ** ˆ significant at 1%. 3 F(., n) is an F-test on the joint significance of the fixed effect terms, where. is the number of companies and n is degrees of freedom. (No R-squared is given in this table as it is not defined in a fixed effects model).

22 1170 ACKER, STALKER AND TONKS after the announcement, and this result is consistent with the findings in Acker (2001). In summary, it is clear that volumes, spreads and return variability are affected by the announcement, with generally lower spreads and higher volumes in the period surrounding the announcement; and high variability on the announcement day and the day after. Tables 3 and 4 present the results of the pooled and panel regressions respectively, fitting models 1 to 3, together with the expanded model 3 which includes the calendar year dummies. Model 1 shows that, as expected, the relationship between the spread and trading volume is significantly negative, reflecting the reduction in the fixed costs as the number of trades increases. The effect is less pronounced in the panel regressions, suggesting that including firm-specific dummies soaks up much of the volume effect: market-makers may well keep to historicallydetermined spreads according to the company being traded, the spread being highly correlated with the historical trading volumes in that company. Model 2 includes trading volumes, excess volumes, and firm and market return variability as explanatory variables. The previous results are robust to amending the model specification, again showing a highly significant negative relationship between spreads and normal trading volumes. As predicted, spreads are positively related to excess volumes, and to firm and market return variability. Again the pooled and the panel results are very similar. Model 3 examines the effects of an announcement on the spread, while controlling for the effects of changes in volumes, excess volumes and variability at this time. The results in Tables 3 and 4 for model 3 show that the `normal' relationships established between spreads, volumes, excess volumes and variability in model 2 are robust to the inclusion of the dummy variables. The fixed effects regressions reveal that the dummies are all negative and most are significant at conventional levels. In the pooled regression, these dummies are also negative, although not all are significant at conventional levels. Clearly the addition of the fixed effects terms refines the specification of model 3. Both the fixed effects and the pooled regressions have a

23 CLOSING INSIDE SPREADS AND EARNINGS ANNOUNCEMENTS 1171 Table 3 Models 1 to 3 (pooled) Model 1 Model 2 Model 3 Model 3 with Year Dummies Constant ( )** ( )** ( )** ( )** Vol j,t ( )** ( )** ( )** ( )** XVol j,t (9.478)** (9.451)** (9.589)** VAR j,t (9.240)** (9.196)** (9.303)** MVAR t (23.452)** (23.175)** (8.629)** DUM 90; (0.381) ( 5.376)** DUM 15; ( 4.573)** ( 6.794)** DUM ( 1.546) ( 2.085)* DUM ( 0.845) ( 1.621) DUM ( 3.227)** ( 3.911)** DUM ( 0.820) ( 1.657) DUM ( 1.143) ( 1.952) DUM(+3, +15) ( 6.174)** ( 8.744)** DUM(+16, +90) ( )** ( )** DUM (60.204)** DUM (64.126)** DUM (82.505)** DUM (48.746)** DUM (18.205)** DUM (9.940)** R squared No. in sample 281, , , ,529 Notes: 1 The table shows the regression results on: Model 1 s j;t ˆ Vol j;t Model 2 s j;t ˆ Vol j;t X Vol j;t VAR j;t MVAR t Model 3 s j;t ˆ Vol j;t X Vol j;t VAR j;t MVAR t X D j; 2T j;t j;t # j;t where XVol j,t is excess trading volume; VAR j,t is the square of stock j's return on day t, and MVAR t is the unweighted mean of VAR j,t across all stocks on day t. 2 t-statistics in parentheses (based on White's heteroscedastic-consistent covariance estimator); * ˆ significant at 5%; ** ˆ significant at 1%.

24 1172 ACKER, STALKER AND TONKS Table 4 Models 1 to 3 (fixed effects) Model 1 Model 2 Model 3 Model 3 with Year Dummies Constant ( )** ( )** ( )** ( )** Vol j,t ( )** ( )** ( )** ( )** XVol j,t (8.205)** (8.202)** (8.388)** VAR j,t (44.201)** (44.344)** (45.117)** MVAR t (55.197)** (54.556)** (19.089)** DUM 90; (3.969)** ( )** DUM 15; ( 4.354)** ( 7.522)** DUM ( 1.877) ( 2.687)** DUM ( 1.200) ( 2.266)* DUM ( 4.993)** ( 6.247)** DUM ( 3.136)** ( 4.436)** DUM ( 2.797)** ( 3.977)** DUM(+3, +15) ( 8.683)** ( )** DUM(+16,+90) ( )** ( )** DUM (76.077)** DUM (88.834)** DUM ( )** DUM (53.682)** DUM (19.123)** DUM (13.492)** F(193, ) 1, F(193, ) 1, F(193, ) 1, F(193, ) 1, No. of firms No. of obs. in sample 281, , , ,529 Notes: As table 3 (No R-squared is given in this table as it is not defined in a fixed effects model).